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14881348134 = 2333113492539
BaseRepresentation
bin11011101101111111…
…10101101000100110
31102102002212210221000
431312333311220212
5220434111120014
610500354534130
71034526241422
oct156677655046
942362783830
1014881348134
116347151124
122a73897346
1315320a4953
14a12579b82
155c16c8509
hex376ff5a26

14881348134 has 64 divisors (see below), whose sum is σ = 33284160000. Its totient is φ = 4928389920.

The previous prime is 14881348129. The next prime is 14881348171. The reversal of 14881348134 is 43184318841.

14881348134 is a `hidden beast` number, since 1 + 488 + 1 + 34 + 8 + 134 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 14881348134.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5859837 + ... + 5862375.

It is an arithmetic number, because the mean of its divisors is an integer number (520065000).

Almost surely, 214881348134 is an apocalyptic number.

14881348134 is an abundant number, since it is smaller than the sum of its proper divisors (18402811866).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

14881348134 is a wasteful number, since it uses less digits than its factorization.

14881348134 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3210 (or 3204 counting only the distinct ones).

The product of its digits is 294912, while the sum is 45.

The spelling of 14881348134 in words is "fourteen billion, eight hundred eighty-one million, three hundred forty-eight thousand, one hundred thirty-four".

Divisors: 1 2 3 6 9 18 27 54 311 349 622 698 933 1047 1866 2094 2539 2799 3141 5078 5598 6282 7617 8397 9423 15234 16794 18846 22851 45702 68553 108539 137106 217078 325617 651234 789629 886111 976851 1579258 1772222 1953702 2368887 2658333 2930553 4737774 5316666 5861106 7106661 7974999 14213322 15949998 21319983 23924997 42639966 47849994 275580521 551161042 826741563 1653483126 2480224689 4960449378 7440674067 14881348134